Finding solution

how to find the initial solution that is (x0,y0) ?

xo,yo are just the coefficients when you run extended euclid algorithm. See this code for example.

#include < iostream >

int d, x, y;
void extendedEuclid(int A, int B) {
    if(B == 0) {
        d = A;
        x = 1;
        y = 0;
    }
    else {
        extendedEuclid(B, A%B);
        int temp = x;
        x = y;
        y = temp - (A/B)*y;
    }
}

int main( ) {
extendedEuclid(16, 10);
cout << ”The GCD of 16 and 10 is ” << d << endl;
cout << ”Coefficients x and y are ”<< x <<  “and  “ << y << endl;
return 0;   
}

The coefficients in this are initial solution , <x0,y0>

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